LinAlg_Complete

# LinAlg_Complete - LINEAR ALGEBRA Paul Dawkins Linear...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: LINEAR ALGEBRA Paul Dawkins Linear Algebra © 2007 Paul Dawkins i http://tutorial.math.lamar.edu/terms.aspx Table of Contents Preface . ..................................................................................................................................... ii Outline . .................................................................................................................................... iii Systems of Equations and Matrices . ........................................................................................ 1 Introduction . ........................................................................................................................................ 1 Systems of Equations . .......................................................................................................................... 3 Solving Systems of Equations. ............................................................................................................ 15 Matrices . ............................................................................................................................................ 27 Matrix Arithmetic & Operations . ........................................................................................................ 33 Properties of Matrix Arithmetic and the Transpose. ............................................................................. 45 Inverse Matrices and Elementary Matrices . ......................................................................................... 50 Finding Inverse Matrices . ................................................................................................................... 59 Special Matrices . ................................................................................................................................ 68 LU-Decomposition . ............................................................................................................................ 75 Systems Revisited . ............................................................................................................................. 81 Determinants . .......................................................................................................................... 90 Introduction . ...................................................................................................................................... 90 The Determinant Function . ................................................................................................................. 91 Properties of Determinants . ............................................................................................................... 100 The Method of Cofactors . .................................................................................................................. 107 Using Row Reduction To Compute Determinants . ............................................................................. 115...
View Full Document

## This note was uploaded on 11/04/2010 for the course MATH 17100 taught by Professor Kitchens during the Spring '10 term at IUPUI.

### Page1 / 342

LinAlg_Complete - LINEAR ALGEBRA Paul Dawkins Linear...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online